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48290040 = 2333561733
BaseRepresentation
bin1011100000110…
…1100011111000
310100212101111000
42320031203320
544330240130
64443005000
71124313201
oct270154370
9110771430
1048290040
1125293027
1214209760
13a009cb6
1465b05a8
15438d260
hex2e0d8f8

48290040 has 128 divisors (see below), whose sum is σ = 163828800. Its totient is φ = 12648960.

The previous prime is 48290029. The next prime is 48290057. The reversal of 48290040 is 4009284.

48290040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48289986 and 48290013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65514 + ... + 66246.

Almost surely, 248290040 is an apocalyptic number.

48290040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48290040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81914400).

48290040 is an abundant number, since it is smaller than the sum of its proper divisors (115538760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48290040 is a wasteful number, since it uses less digits than its factorization.

48290040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48290040 is about 6949.1035393063. The cubic root of 48290040 is about 364.1546458780.

The spelling of 48290040 in words is "forty-eight million, two hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 360 366 488 540 549 610 732 733 915 1080 1098 1220 1464 1466 1647 1830 2196 2199 2440 2745 2932 3294 3660 3665 4392 4398 5490 5864 6588 6597 7320 7330 8235 8796 10980 10995 13176 13194 14660 16470 17592 19791 21960 21990 26388 29320 32940 32985 39582 43980 44713 52776 65880 65970 79164 87960 89426 98955 131940 134139 158328 178852 197910 223565 263880 268278 357704 395820 402417 447130 536556 670695 791640 804834 894260 1073112 1207251 1341390 1609668 1788520 2012085 2414502 2682780 3219336 4024170 4829004 5365560 6036255 8048340 9658008 12072510 16096680 24145020 48290040